Canonoid transformations and master symmetries
Mathematical Physics
2015-03-05 v1 High Energy Physics - Theory
Dynamical Systems
math.MP
Abstract
Different types of transformations of a dynamical system, that are compatible with the Hamiltonian structure, are discussed making use of a geometric formalism. Firstly, the case of canonoid transformations is studied with great detail and then the properties of master symmetries are also analyzed. The relations between the existence of constants of motion and the properties of canonoid symmetries is discussed making use of a family of boundary and coboundary operators.
Cite
@article{arxiv.1303.6225,
title = {Canonoid transformations and master symmetries},
author = {José F. Cariñena and Fernando Falceto and Manuel F. Rañada},
journal= {arXiv preprint arXiv:1303.6225},
year = {2015}
}